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Finding the Fourth Proportional to 274.46, 411.56 and 91.80

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Solution

The fourth proportional to 274.46, 411.56 and 91.80 is: 137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.46 : 411.56 = 91.80 : x
  2. Step 2: Convert to fraction form
    274.46/411.56 = 91.80/x
  3. Step 3: Cross multiply
    274.46x = 411.56 × 91.80
  4. Step 4: Simplify right side
    274.46x = 37,781.21
  5. Step 5: Solve for x
    x = 37,781.21/274.46
  6. Step 6: Final answer
    x = 137.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.